The equation of the circle with the new point will be x² + ( y - 2 )² = 16.
What is a circle?
The circle is defined as the locus of the point traces around a fixed point called the centre and is equidistant from the outer trace.
Given that:-
- The circle is translated as 2 units up.
The equation of the circle will be formed as:-
We know that the general form of the circle is given as
( x - h )² + ( y - k )² = r²,
where ( h, k ) is the centre and r is the radius. When the circle is shifted 2 units up it means that now its centre will be ( 0, 2). So the equation will be:-
x² + ( y - 2 )² = 16
Therefore the equation of the circle with the new point will be x² + ( y - 2 )² = 16.
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